Advanced Quantum Mechanics
The study of quantum mechanics and its applications occupies a central position in the physical sciences, forming the basis for an understanding of atomic, molecular, nuclear, particle and condensed matter physics. The purpose of this course is to provide a comprehensive introduction to the principles of quantum mechanics and includes following topics: Basic Formalism, One Dimensional Problems and Three Dimensional Problems, angular momentum, identical particles General Formalism, Approximation Methods, Scattering Theory.
The aim of this course is to consolidate and extend your knowledge of quantum mechanics by introducing more theoretical tools and some more advanced applications.
By the end of this course, the student should be able to:
Discuss the operator formalism and the extension of the concept to second quantization.
Discuss frontline research in modern quantum physics.
Find free-particle and bound-state solutions to the Schrödinger equation.
Express and manipulate eigen solutions using Dirac notation and matrix mechanics.
Construct eigen functions for angular momentum, and spin systems.
Apply techniques such variational methods, time independent and time-dependent perturbation theory, and scattering theory to quantum systems.
Solve the Dirac equation.
A student completing the course is expected to demonstrate knowledge and understanding of:
Operator formalism and the extension of the concept to second quantization.
Research in modern quantum physics.
Solutions to the Schrödinger equation.
Eigen solutions using Dirac notation and matrix mechanics.
Eigen functions for angular momentum, and spin systems.
Variational methods, time independent and time-dependent perturbation theory, and scattering theory to quantum systems.